In the triangle shown, n is a positive integer, and angle A angle B angle C. How many possible values of n are there?

I'm having trouble with this problem. I used the triangle inequality and got n-7, n3, and n3/2. But I know this isn't the answer can someone help me?

Question

In the triangle shown, n is a positive integer, and angle A >angle B >angle C. How many possible values of n are there?

I'm having trouble with this problem. I used the triangle inequality and got n>-7, n>3, and n>3/2. But I know this isn't the answer can someone help me?

anonymous · Answer

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radar · Answer

First, you know that the sides opposite the angle are proportional to the size of the angle, in other words if angles A>B>C then it will also be true that sides:
(3N+4)>(3N+1)>(4N-9)            We can also conclude that (3N+4) > (4N-9)

Solving we should find that N must be less than 10, since it is integers and positive N can be be a value of 1 to 9.

radar · Answer

I may have misunderstood the question, but I think that is right.

mathmale · Answer

If mA > mB > mC, then the same is true of the corresponding side lengths.  In other words, 3n+4 > 4n-9 >3n+1

See whether you can solve for inequalities that describe possible values for n.